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Simplifying 8(-2n + 20) = 20 + -6n Reorder the terms: 8(20 + -2n) = 20 + -6n (20 * 8 + -2n * 8) = 20 + -6n (160 + -16n) = 20 + -6n Solving 160 + -16n = 20 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 160 + -16n + 6n = 20 + -6n + 6n Combine like terms: -16n + 6n = -10n 160 + -10n = 20 + -6n + 6n Combine like terms: -6n + 6n = 0 160 + -10n = 20 + 0 160 + -10n = 20 Add '-160' to each side of the equation. 160 + -160 + -10n = 20 + -160 Combine like terms: 160 + -160 = 0 0 + -10n = 20 + -160 -10n = 20 + -160 Combine like terms: 20 + -160 = -140 -10n = -140 Divide each side by '-10'. n = 14 Simplifying n = 14
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